Given numbers are 684,816,694,323

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 684,816,694,323 is 16139664.

Find LCM of 684,816,694,323 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 17 x 19 x 3 x 4 x 347 x 1 = 16139664

Therefore, the lowest common multiple of 684,816,694,323 is 16139664.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

684 x 816 x 694 x 323 = 125114675328

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

694 : 1, 2, 347, 694

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,816,694,323, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

816:2x 2x 2x 2x 3x 17

694:2x 347

323:17x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 17x 19 = 7752

Therefore, the value for common factors is 7752.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 125114675328/(1x7752)

LCM = 125114675328/7752

LCM = 16139664

Thus, we can understand that the LCM of 684,816,694,323 is 16139664.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 656, 381, 698, 291
• LCM of 494, 927, 982, 324
• LCM of 524, 659, 307, 520
• LCM of 986, 354, 843, 221
• LCM of 576, 290, 390, 443

1. What is the LCM of 684, 816, 694, 323?

Answer: LCM of 684, 816, 694, 323 is 16139664.

2. How to calculate the LCM of 684, 816, 694, 323?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 684, 816, 694, 323.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.